Replace the polar equation with an equivalent Cartesian equation.r2 = 30r cos ? - 6r sin ? - 9
A. (x - 15)2 + (y + 3)2 = 225
B. (x - 15)2 + (y + 3)2 = 9
C. 30x - 6y = 9
D. (x + 30)2 + (y - 6)2 = 9
Answer: A
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Simplify the rational expression.
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Use the determinant feature of a graphing calculator to solve the system by Cramer's rule . (Round to one decimal place.)2.6x - 0.7y + 5.3z - 3.4w = 2.96.5y + 0.7w = -1.84.0z - 2.2w = 1.54.9x + 0.6w = 3.2
A. {(0.5, -0.4, -0.3, -1.3)} B. {(0.5, -0.4, 1.1, 1.3)} C. {(0.5, 0.4, 1.1, -6.3)} D. {(-0.5, -0.4, 1.1, 9.4)}
The function is one-to-one on the domain
. Find
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E.
The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where x0 = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.7 millimeters at a distance of 100 kilometers from its epicenter? Round the answer to the nearest tenth.
A. 2.7 B. 886.5 C. 3.9 D. 2.9